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Finding the Third Proportional to 4,114.55 and 8,750.53

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Solution

The third proportional to 4,114.55 and 8,750.53 is: 18,610.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.55 : 8,750.53 = 8,750.53 : x
  2. Step 2: Convert to fraction form
    4,114.55/8,750.53 = 8,750.53/x
  3. Step 3: Cross multiply
    4,114.55x = 8,750.53 × 8,750.53
  4. Step 4: Simplify right side
    4,114.55x = 76,571,797.16
  5. Step 5: Solve for x
    x = 76,571,797.16/4,114.55
  6. Step 6: Final answer
    x = 18,610.02

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.